You ask a laboratory technician to prepare an ideal gas mixture consisting of N2, O2, and H2. In order to be used in a process, the mass fraction of O2 cannot exceed 30%. The technician gives you the mixture and informs you that he added O2 and H2 to a container that already held 0.5 kg of N2. However, he did not keep track of how much O2 and H2 he added. You determine that the mass of the final mixture is 1.75 kg, and through experimentation you determine that the constant-volume specific heat of the mixture is 2.25 kJ/kg?K. What are the mass fractions of each gas in the final mixture, and is the mixture safe to use in the process?
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